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122002121001220 = 2256100106050061
BaseRepresentation
bin11011101111010111010101…
…000101011000100100000100
3120222222021210120122220121021
4123233113111011120210010
5111442340320434014340
61111251000050200524
734461235201665235
oct3357272505304404
9528867716586537
10122002121001220
1135967899797669
12118249b3583144
13530c99b222c45
14221ad114b508c
15e1884d947e4a
hex6ef5d5158904

122002121001220 has 12 divisors (see below), whose sum is σ = 256204454102604. Its totient is φ = 48800848400480.

The previous prime is 122002121001209. The next prime is 122002121001223. The reversal of 122002121001220 is 22100121200221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19258475848704 + 102743645152516 = 4388448^2 + 10136254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122002121001194 and 122002121001203.

It is not an unprimeable number, because it can be changed into a prime (122002121001223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3050053025011 + ... + 3050053025050.

It is an arithmetic number, because the mean of its divisors is an integer number (21350371175217).

Almost surely, 2122002121001220 is an apocalyptic number.

122002121001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002121001220 is an abundant number, since it is smaller than the sum of its proper divisors (134202333101384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122002121001220 is a wasteful number, since it uses less digits than its factorization.

122002121001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100106050070 (or 6100106050068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122002121001220 its reverse (22100121200221), we get a palindrome (144102242201441).

The spelling of 122002121001220 in words is "one hundred twenty-two trillion, two billion, one hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6100106050061 12200212100122 24400424200244 30500530250305 61001060500610 122002121001220